13117333829796 has 405 divisors, whose sum is σ = 39394754717409. Its totient is φ = 3679966370304.

The previous prime is 13117333829777. The next prime is 13117333829801. The reversal of 13117333829796 is 69792833371131.

The square root of 13117333829796 is 3621786.

It is a perfect power (a square), and thus also a powerful number.

13117333829796 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 7 + 3 + 338 + 297 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5890183380900 + 7227150448896 = 2426970^2 + 2688336^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (30862944) is a multiple of the sum of its prime factors (486).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 103286093085 + ... + 103286093211.

Almost surely, 2^{13117333829796} is an apocalyptic number.

13117333829796 is the 3621786-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13117333829796

13117333829796 is an abundant number, since it is smaller than the sum of its proper divisors (26277420887613).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13117333829796 is an frugal number, since it uses more digits than its factorization.

13117333829796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 236 counting only the distinct ones).

The product of its digits is 30862944, while the sum is 63.

The spelling of 13117333829796 in words is "thirteen trillion, one hundred seventeen billion, three hundred thirty-three million, eight hundred twenty-nine thousand, seven hundred ninety-six".